Two radioactive elements $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_A$ and $\lambda_B$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.

  • [JEE MAIN 2023]
  • A

    $\lambda_{ A }=\lambda_{ B }$

  • B

    $\lambda_{ A }=2 \lambda_{ B }$

  • C

    $\lambda_{ A }=\lambda_{ B } \ln 2$

  • D

    $\lambda_{ A } \ln 2=\lambda_{ B }$

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